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Finding the Third Proportional to 149,054 and 218,829

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Solution

The third proportional to 149,054 and 218,829 is: 321,267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,054 : 218,829 = 218,829 : x
  2. Step 2: Convert to fraction form
    149,054/218,829 = 218,829/x
  3. Step 3: Cross multiply
    149,054x = 218,829 × 218,829
  4. Step 4: Simplify right side
    149,054x = 47,886,131,241
  5. Step 5: Solve for x
    x = 47,886,131,241/149,054
  6. Step 6: Final answer
    x = 321,267.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.